122 LearnersLast updated on May 26th, 2025
Factors of 595
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 595, how they are used in real life, and tips to learn them quickly.
What are the Factors of 595?
The numbers that divide 595 evenly are known as factors of 595.
A factor of 595 is a number that divides the number without remainder.
The factors of 595 are 1, 5, 7, 17, 35, 85, 119, and 595.
Negative factors of 595: -1, -5, -7, -17, -35, -85, -119, and -595.
Prime factors of 595: 5, 7, and 17.
Prime factorization of 595: 5 × 7 × 17.
The sum of factors of 595: 1 + 5 + 7 + 17 + 35 + 85 + 119 + 595 = 864
How to Find Factors of 595?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 595. Identifying the numbers which are multiplied to get the number 595 is the multiplication method.
Step 1: Multiply 595 by 1, 595 × 1 = 595.
Step 2: Check for other numbers that give 595 after multiplying
5 × 119 = 595
7 × 85 = 595
17 × 35 = 595
Therefore, the positive factor pairs of 595 are: (1, 595), (5, 119), (7, 85), and (17, 35). All these factor pair results in 595. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 595 by 1, 595 ÷ 1 = 595.
Step 2: Continue dividing 595 by the numbers until the remainder becomes 0.
595 ÷ 1 = 595
595 ÷ 5 = 119
595 ÷ 7 = 85
595 ÷ 17 = 35
Therefore, the factors of 595 are: 1, 5, 7, 17, 35, 85, 119, 595.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 595 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
595 ÷ 5 = 119
119 ÷ 7 = 17
17 ÷ 17 = 1
The prime factors of 595 are 5, 7, and 17.
The prime factorization of 595 is: 5 × 7 × 17.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 595 is divided by 5 to get 119.
Step 2: Now divide 119 by 7 to get 17.
Step 3: Divide 17 by 17 to get 1.
Here, 17 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 595 is: 5 × 7 × 17.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 595: (1, 595), (5, 119), (7, 85), and (17, 35).
Negative factor pairs of 595: (-1, -595), (-5, -119), (-7, -85), and (-17, -35).
Common Mistakes and How to Avoid Them in Factors of 595
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 595, 1 and 595 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, The factors of 595 consist of -1, -5, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 2.5 as a factor, because 595/2.5 = 238, which is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 595 are prime numbers.
For example, 5, 7, and 17 are the prime factors of 595, but it has other factors like 35, 85.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 595 as 5 × 7 × 17 and missing all the key factors.
Factors of 595 Examples
Problem 1
There are 5 friends and 595 candies. How will they divide it equally?
They will get 119 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
595/5 = 119
Problem 2
A piece of land is rectangular, the length of the land is 17 meters and the total area is 595 square meters. Find the width?
35 meters.
Explanation
To find the width of the land, we use the formula, Area = length × width
595 = 17 × width
To find the value of width, we need to shift 17 to the left side.
595/17 = width
Width = 35.
Problem 3
There are 119 bags and 595 apples. How many apples will be in each bag?
Each bag will have 5 apples.
Explanation
To find the apples in each bag, divide the total apples with the bags.
595/119 = 5
Problem 4
In a class, there are 595 students, and 7 groups. How many students are there in each group?
There are 85 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
595/7 = 85
Problem 5
595 books need to be arranged in 17 shelves. How many books will go on each shelf?
Each of the shelves has 35 books.
Explanation
Divide total books with shelves.
595/17 = 35
FAQs on Factors of 595
1.What are the factors of 595?
2.Mention the prime factors of 595.
3.Is 595 a multiple of 7?
4.Mention the factor pairs of 595?
5.What is the square of 595?
6.How can children in United States use numbers in everyday life to understand Factors of 595?
7.What are some fun ways kids in United States can practice Factors of 595 with numbers?
8.What role do numbers and Factors of 595 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 595 skills?
Important Glossaries for Factor of 595
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 595 are 1, 5, 7, 17, 35, 85, 119, and 595.
- Prime factors: The factors which are prime numbers. For example, 5, 7, and 17 are prime factors of 595.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 595 are (1, 595), (5, 119), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 595 is 5 × 7 × 17.
- Divisors: Another term for factors, referring to numbers that divide a given number completely, leaving no remainder. For example, the divisors of 595 are 1, 5, 7, 17, 35, 85, 119, and 595.
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About BrightChamps in United States
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
